This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A002684 Denominators of coefficients for repeated integration. (Formerly M4307 N1802) 1
 6, 360, 10080, 259200, 239500800, 145297152000, 15692092416000, 16005934264320000, 8515157028618240000, 3372002183332823040000, 4653363012999295795200000, 8469120683658718347264000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES H. E. Salzer, Coefficients for repeated integration with central differences, Journal of Mathematics and Physics, 28 (1949), 54-61. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS FORMULA a(n) is the denominator of -(n/2)M(n)-(2n+2)M(n+1), where M(n)=(2/(2n+1)!)*int(t*product(t^2-k^2, k=1..n), t=0..1). - Emeric Deutsch, Jan 25 2005 MAPLE M:=n->(2/(2*n+1)!)*int(t*product(t^2-k^2, k=1..n), t=0..1):B:=n->-(n/2)*M(n)-(2*n+2)*M(n+1): seq(denom(B(n)), n=0..13); (Deutsch) CROSSREFS Cf. A002195, A002196, A002683. Sequence in context: A197611 A233463 A290782 * A036281 A202367 A262179 Adjacent sequences:  A002681 A002682 A002683 * A002685 A002686 A002687 KEYWORD nonn,frac AUTHOR EXTENSIONS More terms from Emeric Deutsch, Jan 25 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 26 20:42 EDT 2019. Contains 321534 sequences. (Running on oeis4.)